Question

M AA MATHEMATICAL ASSOCIATION OF AMERICA Log webwork / math217 cao fall2019 / hw9/5 HW9: Problem 5 Previous Problem Problem List Next Problem (2 points) Among drivers who have had a car crash in the last year, 280 were randomly selected and categorized by age, with the results listed in the table below. Age Under 25 25-44 45-64 Over 64 Drivers 106 70 43 61 If all ages have the same crash rate, we would expect (because of the age distribution of licensed drivers) the given categories to have 16% 44%, 27%, 13% of the subjects, respectively. At the 0.05 significance level, test the claim that the distribution of crashes conforms to the distribution of ages. The test statistic is x = 99.7 The conclusion is • A. There is sufficient evidence to warrant the rejection of the claim that the distribution of crashes conforms to the distibuion of ages. B. There is not sufficient evidence to warrant the rejection of the claim that the distribution of crashes conforms to the distibulon of ages Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 2 times Your overall recorded score is 50% You have 8 attempts remaining Chan

Answer 1

The statistic software output for this problem is:

Chi-Square goodness-of-fit results: Observed: 0 Expected: E N DF Chi-Square P-value 280 3 137.25925 <0.0001 Observed. Expected 106 44.8 70 123.2 75.6 36.4

$\chi^2$ = 137.26 (rounded to 2 decimal )

Option A) is correct .